%0 Journal Article
%T Holonomy map fibers of $\mathbb{C}{\rm P}^1$-structures in moduli space
%A Shinpei Baba
%A Subhojoy Gupta
%J Mathematics
%D 2014
%I arXiv
%R 10.1112/jtopol/jtv013
%X Let $S$ be a closed oriented surface of genus $g\geq 2$. Fix an arbitrary non-elementary representation $\rho\colon\pi_1(S)\to {\rm SL}_2(\mathbb{C})$ and consider all marked (complex) projective structures on $S$ with holonomy $\rho$. We show that their underlying conformal structures are dense in the moduli space of $S$.
%U http://arxiv.org/abs/1402.5445v2